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231210103002120 = 2332511375213028811
BaseRepresentation
bin110100100100100011001100…
…000011101101010000001000
31010022122110200121121121111200
4310210203030003231100020
5220301121242332031440
62135424242135424200
766462243614556534
oct6444431403552010
91108573617547450
10231210103002120
1167741721567520
1221b22097825060
139c02033128398
1441148b31d0bc4
151bae48a9aac30
hexd248cc0ed408

231210103002120 has 384 divisors, whose sum is σ = 843516388241280. Its totient is φ = 54431350272000.

The previous prime is 231210103002101. The next prime is 231210103002121. The reversal of 231210103002120 is 21200301012132.

231210103002120 is a `hidden beast` number, since 2 + 31 + 210 + 1 + 0 + 300 + 2 + 120 = 666.

It is a super-2 number, since 2×2312101030021202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231210103002093 and 231210103002102.

It is not an unprimeable number, because it can be changed into a prime (231210103002121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74822515 + ... + 77851325.

It is an arithmetic number, because the mean of its divisors is an integer number (2196657261045).

Almost surely, 2231210103002120 is an apocalyptic number.

231210103002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231210103002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421758194120640).

231210103002120 is an abundant number, since it is smaller than the sum of its proper divisors (612306285239160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231210103002120 is a wasteful number, since it uses less digits than its factorization.

231210103002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029397 (or 3029390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231210103002120 its reverse (21200301012132), we get a palindrome (252410404014252).

The spelling of 231210103002120 in words is "two hundred thirty-one trillion, two hundred ten billion, one hundred three million, two thousand, one hundred twenty".